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Finding the Fourth Proportional to 707.63, 1,055.84 and 703.55

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Solution

The fourth proportional to 707.63, 1,055.84 and 703.55 is: 1,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.63 : 1,055.84 = 703.55 : x
  2. Step 2: Convert to fraction form
    707.63/1,055.84 = 703.55/x
  3. Step 3: Cross multiply
    707.63x = 1,055.84 × 703.55
  4. Step 4: Simplify right side
    707.63x = 742,836.23
  5. Step 5: Solve for x
    x = 742,836.23/707.63
  6. Step 6: Final answer
    x = 1,049.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.